Question

Out of 450 applicants for a job, 204 are male and 68 are male and have a graduate degree. If 133 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is male, given that the applicant has a graduate degree?

A) (68/133)

B) (68/450)

C) (133/450)

D) (204/450)

Answer 1

The correct answer is A) (68/133), which represents the probability that a randomly chosen applicant is male given that the applicant has a graduate degree.

Step-by-step explanation:

The probability that a randomly chosen applicant is male, given that the applicant has a graduate degree, is found using conditional probability. Out of 133 applicants with graduate degrees, 68 are male. The probability is the number of male applicants with a graduate degree (the favorable outcomes) divided by the total number of applicants with a graduate degree (the possible outcomes).

So, the probability that a randomly chosen applicant is male, given that they have a graduate degree is 68/133.

Therefore, the correct answer is A) (68/133).